what is the product?

$(x + 3)(2x - 1)$

- $2x^2 + 6x$
- $2x^2 + 6x - 3$
- $2x^2 + 5x - 3$
- $2x^2 - 3$

Question

what is the product?

$(x + 3)(2x - 1)$

- $2x^2 + 6x$
- $2x^2 + 6x - 3$
- $2x^2 + 5x - 3$
- $2x^2 - 3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Multiplication", "Distributive Property" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "Distributive Property" ] } ## Apply the distributive property Using the *Distributive Property* and *Polynomial Multiplication* knowledge points $$ (x + 3)(2x - 1) = x(2x - 1) + 3(2x - 1) $$ ## Expand the terms Using the *Distributive Property* and *Polynomial Multiplication* knowledge points $$ x(2x - 1) + 3(2x - 1) = 2x^2 - x + 6x - 3 $$ ## Combine like terms Using the *Polynomial Multiplication* knowledge point $$ 2x^2 + (-1 + 6)x - 3 = 2x^2 + 5x - 3 $$

(A) $2x^2 + 6x$

(B) $2x^2 + 6x - 3$

(C) $2x^2 + 5x - 3$

(D) $2x^2 - 3$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Expand the terms

Combine like terms

Answer: